Not long ago, we acquired a range of inexpensive storage vessels, ideal for
keeping leftovers in the fridge before they go into yours truly, the family
dustbin.

Here is an example: the steel dish is covered by a tight-fitting
plastic (presumably polyethylene) lid. Or it was tight-fitting when we bought
it, but some of these lids are now so tight-fitting that they won’t even go on
at all, and one or two have split in the attempt to force them
on.

First instinct might be to
blame the country of manufacture. However, I think the problem lies in a lack
of detailed knowledge of polymer properties. The manufacturer has probably
turned out a product that nicely matches specification, but is, like 99.99% of
the world’s population, not familiar with the science of how plastics perform
under ageing and wear & tear.

Plastics are a widely varied class of
materials — if you want to ask “how varied”, I would reply “describe a typical
mollusc”. However, with polyethylene, we are dealing with a typical,
archetypical semicrystalline thermoplastic. The second word is easy: it
means one that you can melt and mould. But the first word?

Some
plastics, like polystyrene, are not crystalline at all. Heat them up, and you
get a sticky liquid, and as they cool, this sets into a hard glass. But no
crystals have been formed — just like ordinary window glass, the liquid becomes
so stiff on cooling that it is effectively a solid. It may look “crystal
clear”, but there is not the regular atomic or molecular order found in common
crystalline solids like table salt or granulated sugar.

Polyethylene,
above 140°C, is a sticky, gooey, clear liquid. Cool it by some tens of degrees,
though, and it starts to crystallize. The crystals start as tiny nuclei, and
begin to grow. There are generally lots of these nuclei, maybe 1000 to a cubic
millimetre, and very soon the crystals have grown and are abutting on to each
other. They do not completely fill up space, though. Polyethylene molecules
are spaghetti like, and after a while in the remaining space the molecules are
so tangled up together they cannot sort themselves out any further. So instead
of crystallizing into a hard solid, they form a rubbery sort of filler for the
crystals that have already grown. That is why polyethylene can have some of the
stiffness of a solid and some of the flexibility of a
rubber. (Picture: transmission electron micrograph showing crystals in matrix)

And now for the history of our
plastic lid. It would have started out as a sack of pellets from the
polyethylene manufacturer, which would have been fed into some kind of hopper
and then into a melting oven. Here is how the volume of polyethylene increases
as it is heated (data from Leo
Mandelkern of Florida State University[1]).

If it were a ‘simple’
solid, it would behave somewhat like the red curve. From near room temperature
at A, it would expand slowly, until near the melting point at B, when it would
all turn into liquid with a much greater volume, and then continue expanding as
a liquid, rather more quickly than it did as a solid.

But not real
polyethylene (black curve). The upward curvature at D shows that a proportion
of the solid is gradually turning into liquid all the way up the melting curve,
even though the final melt-out takes place over a range of a few degrees. But
even ten or twenty degrees before this, the plastic would have become softer,
more bendy, and a bit sticky to the touch.

Now we have our molten
polyethylene, and we rapidly inject it into the mould and cool it very quickly.
Speed is of the essence, in order to keep ‘cycle time’ down, out with one lid in
with the next in the same mould.

The next graph shows how the volume of 1
gram of polyethylene (PE) is made up of its rubbery (or ‘amorphous’) and
crystalline parts. If we could cool it fast enough, in theory it would not
crystallize at all, and would form a glass. In practice, this is very difficult
to achieve. The only case I know of is where thin films of molten polyethylene
have been catapulted into slushy nitrogen at –210°C (mere liquid nitrogen would
not do: it would start to boil and an insulating film of bubbles would form on
the polyethylene so that it could not cool fast enough.) Even if one could
achieve this with one’s bucket, it would crystallize as it warmed back up to
room temperature. But if one could achieve such a state, one’s
gram of polyethylene would occupy nearly 1·2 cm3 of space
(A).

In our moulding process, though,
it crystallizes, not all the way to D, but to something like
B. Our gram of PE now occupies about 1·06 cm3. And
there it would sit, quite happily, part of a well-formed nicely fitting lid, if
only …

If only we did not do things like filling the container with hot
food, and washing it up in really hot water. The lid was, as said before,
formed under very rapid cooling, and the plastic is far from being in anything
like an ‘equilibrium’ state. Heat it up again, and the crystalline material
starts to melt slightly. However, the non-crystalline part is now able to
crystallize more slowly, and into something more like an ‘equilibrium’ state.
This means that the lid will transform into a more highly crystalline condition
such as C in the diagram.

This means that our lid had
shrunk, and it is more difficult to force it onto the steel dish. Push too
hard, and the rim of the lid may — and sometimes does —
SNAP!

Comments

Comments

I would like to have represented it in terms of columns representing rubbery and crystalline material.

Here is an Excel chart showing equally spaced columns for different fractions of crystalline material, but the program seems only to allow equally spaced columns: I would have wanted the columns to be placed for PE in the various states I was talking about. I don’t have any dedicated scientific graphing software which allows me to do that.

I like this article and only now realize why there's so few matching lids after a while. I thought people living in my house were leaving the lids at friend's houses and friends were leaving there's here.Anyway, I don't see how anyone can understand the red line dividing the 2 colors on the graph in the article until they read your bar chart comment here. But, all you need to do to fix the graph in the article is to include the legend that lets people know blue is Crystalline and orange is Rubbery. It would also help to use a thin gray line instead of a thick red one to divide those regions, otherwise it looks like the dividing line is a curve you should be talking about in the article but aren't.

On this side of the ocean, at least in Canada, what's become popular(temporarily) is the low density polyethylene lid over a glass container. They advise people to loosen lid (probably to avoid pressure buildup) in microwave, but of course it shrinks, and, as you explain, cracks when forced over a glass bottom that remains the same size.